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Finding the Fourth Proportional to 10,001.44, 15,002.16 and 3,844

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Solution

The fourth proportional to 10,001.44, 15,002.16 and 3,844 is: 5,766

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,001.44 : 15,002.16 = 3,844 : x
  2. Step 2: Convert to fraction form
    10,001.44/15,002.16 = 3,844/x
  3. Step 3: Cross multiply
    10,001.44x = 15,002.16 × 3,844
  4. Step 4: Simplify right side
    10,001.44x = 57,668,303.04
  5. Step 5: Solve for x
    x = 57,668,303.04/10,001.44
  6. Step 6: Final answer
    x = 5,766

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.